Question

the measures of the angles of a quadrilateral are in the ratio 2:3:5:6.what type of quadrilateral is it?​

Answer 1

Step-by-step explanation:

let the angles be 2x,3x,5x,6x

2x+3x+5x+6x=360°

16x=360°

x=360/16

x=22.5°

angles are 2×22.5,3×22.5,5×22.5 and 6×22.5

45°,67.5°,112.5° and 135°

it is a trapezium because adjacent angles sum = 180°

45°+135°=180°

67.5°+112.5°=180°

Answer 2

Step-by-step explanation:

let the ratio of the angles be 2x,3x,5x,6x

(now by using angle sum property of a quadrilateral)

2x+3x+5x+6x=360°

16x=360°

x=360/16

=22.5

2x=2*22.5°=45°

3x=3*22.5°=67.5°

5x=5*22.5°=112.5°

6x=6*22.5=135°

(so its a ir-regular quadrilateral)